2. In the equation x² + 40x +n = 0 , findn if one root is 3 times larger than the other root. Determine also the roots.

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Q: If the roots of an equation are m=1 and m=-2, find the quadratic equation

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Q: 8. Use the quadratic formula to determine each of the roots of -7x - 23x = - 10 to two decimal…

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Q: Construct an equation whose roots are lees than 4 of the roots of x^3+3x^2-12x-10=0

A: Answer

Q: If using the method of completing the square to solve the quadratic equation…

A: Find your answer below

Q: Describe the nature of the roots of the equation 49x^2-28x+4=0

A: Given that, 49x^2-28x+4=0

Q: 12. Solve for x: 273x-2 812x + 7 %3D

A: Just I have converted  the given number in the same base.and when two numbers with same base are…

Q: Does the equation 3.2x° – 53.4x = 0.015x – 43 have any root that is not an algebraic number? Justify…

A: Given that 3.2x6-53.4x=0.015x3-43 The equation can be written as, 3.2x6 -53.4x=0.015x3-433.2x6…

Q: Find the fourth roots for the equation z4-2z²+4=0

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Q: solve for  4sin(π/2x)=3  for the four smallest positive solutions

A: We have to find Four smallest positive solution for- 4sin(π/2x)=3.....(1)

Q: Solve for A. 3 REHB 8 “1881-

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Q: The equation x-7x²+ 14x² +2x-20=0 has how many roots?

A: we have to apply properties of polynomials to solve the question

Q: What is the value of 'k' if the roots of the quadratic equation 2x*2 +kx +2=0 are equal?

A:

Q: Construct an equation whose roots are less than 4 of the roots of x'+3x –12x-10=0

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Q: Show that the equation e +-23D0 has no real root which is less than 1.

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Q: 4. Solve for x. * 23' (14x – 22)

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Q: Indicate all integer solutions, congruent to 7, of the equation 2" = y. What if we replace 7 and 2…

A: Solution :       2x = y (mod 7)     Now if x = 0,then 20 = 1 = y (mod 7)     So, (0,1) is one…

Q: Solve the equation In (5x + 7)- In (x + 2) = In (2x + 2) - In 1

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Q: 2. In the equation x2 + 40x + n = 0, find n if one root is 3 times larger than the other root.…

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Q: Is the equation( e^2x) + (xcosx) +(-2) =0 has real roots ?

A: Using mean value theorem for continuous functions

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

Q: If -2 is a root of the equation x² + px - 6 = 0 and the equation x²- px + q = 0 and the equation x²-…

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Q: (b) Solve the equation 0=x- 3x-18. What extraneous root was introduced by multiplying by (x-6) on…

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Q: I'm looking for a step-by-step solution to solve the roots of this equation by completing the…

A: We need to solve the following quadratic equation 3x2+2x+73 = 0

Q: Solve the given quadratic equation using the method of your choice. 7a? + 19 = 31z + 7 O {}, 4} o…

A: Given, The quadratic equation 7x2+19 = 31x+7 We have to solve the quadratic equation.

Q: If one root of the quadratic equation 2x2 +kx-6=0 is 2.find the value of k .Also find the other…

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Q: Solve. Enter onl -7n - 4n = 11 %3D

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Q: %23 Find the only solution. 5x – 7 3 - 7 x +5

A: To find the only solution of the following equation,

Q: Show complete solution. Solve for the roots using algebraic method. 16x+ - 1

A: To Solve: The roots of 16x4-1 using algebraic method.

Q: Without solving for the roots, determine the sum and product of the roots of the following equation.…

A: Topic = Equations

Q: 12. If p || q, solve for x. (7x 27) (11-5)

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Q: If one root of the quadratic equation 2x2+kx-6=0 is 2.find the value of k .Also find the other roots

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Q: Show that the sum of the roots of a quadratic equation is - b/a

A: To show that the sum of the roots of a quadratic equation is -ba.

Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 4x = 3 %3D

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Q: When shifting right or left in a quadratic equation which term in ax^2+bx+c would you use?

A: The quadratic equation is ax2+bx+c

Q: 19. Solve for x: 16x-1 = 64x+1

A: Property of exponent : If ax=ay then x=y. (xa)b=xab

Q: The equation x - 4kx + 10 – 6k = 0 will have two equal roots if the value of k is:

A:

Q: If using the method of completing the square to solve the quadratic equation 2 + x +9 = 0, which…

A: The given equation is x2+x+9=0.  Add and subtract the square of half the coefficient of x on the…

Q: 8. If mZBCD = 51°, solve for x. B (14x + 4) 55

A: (8) Consider the provided graph, Find the value of x. Given that ∠BCD=51°

Q: Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 is whereas the…

A: We have to solve given problem:

Q: 2. The sum of the roots of the quadratic equation x²-x-6=0 is given by 2 O

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Q: Find the quadratic that has the following roots: x=4 and x=-2

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Q: If one root of the equation X²-Ax+b is 3more than the other root. Find b in terms of a

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Q: 8. What is the value of p that will make the roots of the equation 4x - px - x +4 = 0 equal?

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Q: 3. Solve 6+249 – 2x = 7. (SHOW WORK)

A: Firstly equate terms which are free from 'x' on one side  and after that take 5th root on both sides…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

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Q: 4. Construct an equation whose roots are less than 4 of the roots of x+3x-12x-10=0

A:

Q: 5. y=x² + 4x+5

A: Given the query is to find absolute maxima and minima.

Q: What is/are the value/s of k in the quadratic equation 2x² – 5x – k = 0 whose roots are imaginary?…

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Q: What is/are the value/s of k if the sum of the roots of x2 + kx + 3x = 1 is 3?

A: We know that if α and β be roots of a quadratic equationax2+bx+c=0, then α+β=-ba and αβ=caHere, the…